How much gold is deposited in 6 hours of electrolysis at 0.540 A?

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In the electrolysis of Au3+ solution at a constant current of 0.540 A over 6 hours, gold is deposited through the half-reaction involving three electrons per mole of gold. The total charge passed is calculated as 6 hours multiplied by 3600 seconds and the current, resulting in a specific amount of charge. Using the formula n = It/zF, where z represents the number of electrons, the moles of gold deposited can be determined. After calculations, the final mass of gold deposited is approximately 7.94 grams. This demonstrates the application of Faraday's law in electrolysis for gold deposition.
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In the electrolysis of Au3+ (aq) solution, gold is deposited. How much gold is deposited in 6 hours by a constant current of 0.540 A?

I know you need to find the moles of e- by using It/F. But I'm not sure where to go from there.

Any help would be great.

Thanks.
 
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Use Faraday's law,compute the mass of Au by making those multiplications/divisions and then compare to the fninal result.

The formulation's kinda vague,so you can leave the final answer in Kg...

Daniel.
 
Consider the half-reaction

Au3+(aq) + 3e- -------------> Au(s)

Now 1 mol of Au3+ requires 3 Faradays (3*96500 C) to deposit 1 mol of Au

Therefore, if the amount of charge passed is 6*3600*.540 C, how many moles of Au will be deposited?
 
Okie dokie, thanks.
 
I just used n = It/zF (where z= amount of "excess" electrons). Then multiplied the answer by the molar mass of gold. That gave me 7.94g.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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